5 11 13 triangle

Obtuse scalene triangle.

Sides: a = 5   b = 11   c = 13

Area: T = 26.89221456935
Perimeter: p = 29
Semiperimeter: s = 14.5

Angle ∠ A = α = 22.09331769923° = 22°5'35″ = 0.38655986807 rad
Angle ∠ B = β = 55.83877404834° = 55°50'16″ = 0.97545524183 rad
Angle ∠ C = γ = 102.0699082524° = 102°4'9″ = 1.78114415545 rad

Height: ha = 10.75768582774
Height: hb = 4.88994810352
Height: hc = 4.13772531836

Median: ma = 11.77992189894
Median: mb = 8.17700673192
Median: mc = 5.54552682532

Vertex coordinates: A[13; 0] B[0; 0] C[2.80876923077; 4.13772531836]
Centroid: CG[5.26992307692; 1.37990843945]
Coordinates of the circumscribed circle: U[6.5; -1.39898110038]
Coordinates of the inscribed circle: I[3.5; 1.85546307375]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.9076823008° = 157°54'25″ = 0.38655986807 rad
∠ B' = β' = 124.1622259517° = 124°9'44″ = 0.97545524183 rad
∠ C' = γ' = 77.93109174756° = 77°55'51″ = 1.78114415545 rad

How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines    